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Nonlinearity-managed lump waves in a spatial symmetric HSI model

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Abstract

We aim at seeking nonlinearity-managed lump waves in a spatial symmetric HSI model. Nonlinear terms play an important role in formulating such lump waves with the dispersion terms in the nonlinear model. Based on an associated Hirota bilinear form, an ansatz on quadratic function solutions is adopted for the corresponding Hirota bilinear equation, and symbolic computation with Maple is made to construct the required lump waves. A few of characteristic properties of the obtained lump waves are determined and some concluding remarks are given.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: The data used to support the findings of this study are included within the article.]

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Acknowledgements

The work was supported in part by National Natural Science Foundation of China (11975145 and 11972291), a project of Inner Mongolia University of Technology for developing a high performance research team (ZD202018) and the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17KJB110020).

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China

    Wen-Xiu Ma

  2. Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Wen-Xiu Ma

  3. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620, USA

    Wen-Xiu Ma & Alle Adjiri

  4. School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho, 2735, South Africa

    Wen-Xiu Ma

  5. Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, China

    Yushan Bai

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  1. Wen-Xiu Ma
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Correspondence to Wen-Xiu Ma.

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Ma, WX., Bai, Y. & Adjiri, A. Nonlinearity-managed lump waves in a spatial symmetric HSI model. Eur. Phys. J. Plus 136, 240 (2021). https://doi.org/10.1140/epjp/s13360-021-01212-6

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